Colton is planning on building a new shed for his backyard. The plans for the shed are shown with all the measurements. The shed is a right prism.
• How much can Colton store inside the new shed? Explain your reasoning.
• Colton wants to paint the outside of the shed including the shed door to match his house.
Explain how much paint Colton will need to paint the shed.
• A gallon of paint covers 200 square feet and costs $16.99. How much will it cost Colton to
paint the shed?

the answer is c. 23/3

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the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

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